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Bartleby Sitemap - Textbook Solutions

All Textbook Solutions for PREALGEBRA

In the following exercises, perform the indicated operation and write your answers in simplified form. 518+118 In the following exercises, perform the indicated operation and write your answers in simplified form. 815125 In the following exercises, perform the indicated operation and write your answers in simplified form. 712928 Trail Mix Jacob is mixing together nuts and raisins to make trail mix. He has 610 of a pound of nuts and 310 of a pound of raisins. How much trail mix can he make?Baking Janet needs 58 of a cup of flour for a recipe she is making. She only has 38 of a cup of flour and will ask to borrow the rest from her next-door neighbor. How much flour does she have to borrow?Greg dropped his case of drill bits and three of the bits fell out. The case has slots for the drill bits, and the slots are arranged in order from smallest to largest. Greg needs to put the bits that fell out back in the case in the empty slots. Where do the three bits go? Explain how you know. Bits in case: 116,18 , ___, ___, 516,38 , ___, 12,916,58 . Bits that fell out: 716,316,14 .After a party, Lupe has 512 of a cheese pizza, 412 of a pepperoni pizza, and 412 of a veggie pizza left. Will all the slices fit into 1 pizza box? Explain your reasoning.TRY IT:: 4.125 Find the least common denominator for the fractions: 712 and 1115 .TRY IT:: 4.126 Find the least common denominator for the fractions: 1315 and 175 .TRY IT:: 4.127 Find the least common denominator for the fractions: 1324 and 1732 .TRY IT:: 4.128 Find the least common denominator for the fractions: 928 and 2132 .TRY IT:: 4.129 Change to equivalent fractions with the LCD: 34 and 56 , LCD=12 TRY IT:: 4.130 Change to equivalent fractions with the LCD: 712 and 1115 , LCD=60 TRY IT:: 4.131 Change to equivalent fractions with the LCD: 1324 and 1732 , LCD 96 TRY IT:: 4.132 Change to equivalent fractions with the LCD: 928 and 2732 , LCD 224 TRY IT:: 4.133 Add: 14+13 .TRY IT:: 4.134 Add: 12+15 .TRY IT:: 4.135 Simplify: 12(18) .TRY IT:: 4.136 Simplify: 13(16) .TRY IT:: 4.137 Add: 712+1115 .TRY IT:: 4.138 Add: 1315+1720 .TRY IT:: 4.139 Subtract: 13241732 .TRY IT:: 4.140 Subtract: 2132928 .TRY IT:: 4.141 Add: 1342+1735 .TRY IT:: 4.142 Add: 1924+1732 .TRY IT:: 4.143 Add: y6+79 .TRY IT:: 4.144 Add: x6+715 .TRY IT:: 4.145 Simplify each expression: a. 3416 b. 3416 TRY IT:: 4.146 Simplify each expression: a. 56(14) b. 56(14)TRY IT:: 4.147 Simplify: a. 3a489 b. 3a489 TRY IT:: 4.148 Simplify: a. 4k5+56 b. 4k556 TRY IT:: 4.149 Simplify: ( 1 3 )223+2 .TRY IT:: 4.150 Simplify: 1+42( 1 4 )2 .TRY IT:: 4.151 Simplify: 13+123413 .TRY IT:: 4.152 Simplify: 231214+13 .TRY IT:: 4.153 Evaluate: x+34 when a. x=74 b. x=54 TRY IT:: 4.154 Evaluate: y+12 when a. y=23 b. y=34 TRY IT :: 4.155 Evaluate: y12 when y=14 .TRY IT :: 4.156 Evaluate: x38 when x=52 .TRY IT:: 4.157 Evaluate. 3ab2 when a=23 and b=12 .TRY IT:: 4.158 Evaluate. 4c3d when c=12 and d=43 .TRY IT:: 4.159 Evaluate. a+bc when a=8 , b=7 and c=6 .TRY IT:: 4.160 Evaluate. x+yz when x=9 , y=18 and z=6 .In the following exercises, find the least common denominator (LCD) for each set of fractions. 23 and 34 In the following exercises, find the least common denominator (LCD) for each set of fractions. 34 and 25 In the following exercises, find the least common denominator (LCD) for each set of fractions. 712 and 58 In the following exercises, find the least common denominator (LCD) for each set of fractions. 916 and 712 In the following exercises, find the least common denominator (LCD) for each set of fractions. 1330 and 2542 In the following exercises, find the least common denominator (LCD) for each set of fractions. 2330 and 548 In the following exercises, find the least common denominator (LCD) for each set of fractions. 2135 and 3956 In the following exercises, find the least common denominator (LCD) for each set of fractions. 1835 and 3349 In the following exercises, find the least common denominator (LCD) for each set of fractions. 23,16 , and 34 In the following exercises, find the least common denominator (LCD) for each set of fractions. 23,14 , and 35 In the following exercises, convert to equivalent fractions using the LCD. 13 and 14 , LCD=12 In the following exercises, convert to equivalent fractions using the LCD. 14 and 15 , LCD=20 In the following exercises, convert to equivalent fractions using the LCD. 512 and 78 , LCD=24 In the following exercises, convert to equivalent fractions using the LCD. 712 and 58 , LCD=24 In the following exercises, convert to equivalent fractions using the LCD. 1316 and 1112 , LCD=48 In the following exercises, convert to equivalent fractions using the LCD. 1116 and 512 , LCD=48 In the following exercises, convert to equivalent fractions using the LCD. 13,56, and 34 , LCD=12 In the following exercises, convert to equivalent fractions using the LCD. 13,34, and 35 , LCD=60 In the following exercises, add or subtract. Write the result in simplified form. 334. 13+15 In the following exercises, add or subtract. Write the result in simplified form. 14+15 In the following exercises, add or subtract. Write the result in simplified form. 336. 12+17 In the following exercises, add or subtract. Write the result in simplified form. 337. 13+18 In the following exercises, add or subtract. Write the result in simplified form. 338. 13(19)In the following exercises, add or subtract. Write the result in simplified form. 339. 14(18)In the following exercises, add or subtract. Write the result in simplified form. 340. 15(110)In the following exercises, add or subtract. Write the result in simplified form. 341. 12(16)In the following exercises, add or subtract. Write the result in simplified form. 342. 23+34 In the following exercises, add or subtract. Write the result in simplified form. 343. 34+25 In the following exercises, add or subtract. Write the result in simplified form. 344. 712+58 In the following exercises, add or subtract. Write the result in simplified form. 345. 512+38 In the following exercises, add or subtract. Write the result in simplified form. 346. 712916 In the following exercises, add or subtract. Write the result in simplified form. 347. 716512 In the following exercises, add or subtract. Write the result in simplified form. 348. 111238 In the following exercises, add or subtract. Write the result in simplified form. 58712 In the following exercises, add or subtract. Write the result in simplified form. 2338 In the following exercises, add or subtract. Write the result in simplified form. 351. 5634 In the following exercises, add or subtract. Write the result in simplified form. 352. 1130+2740 In the following exercises, add or subtract. Write the result in simplified form. 920+1730 In the following exercises, add or subtract. Write the result in simplified form. 354. 1330+2542 In the following exercises, add or subtract. Write the result in simplified form. 355. 2330+548 In the following exercises, add or subtract. Write the result in simplified form. 39562235 In the following exercises, add or subtract. Write the result in simplified form. 357. 33491835 In the following exercises, add or subtract. Write the result in simplified form. 358. 23(34)In the following exercises, add or subtract. Write the result in simplified form. 359. 34(45)In the following exercises, add or subtract. Write the result in simplified form. 360. 916(45)In the following exercises, add or subtract. Write the result in simplified form. 361. 720(58)In the following exercises, add or subtract. Write the result in simplified form. 1+78 In the following exercises, add or subtract. Write the result in simplified form. 1+56 In the following exercises, add or subtract. Write the result in simplified form. 159 In the following exercises, add or subtract. Write the result in simplified form. 365. 1310 In the following exercises, add or subtract. Write the result in simplified form. x3+14 In the following exercises, add or subtract. Write the result in simplified form. 367. y2+23 In the following exercises, add or subtract. Write the result in simplified form. 368. y435 In the following exercises, add or subtract. Write the result in simplified form. 369. x514 In the following exercises, perform the indicated operations. Write your answers in simplified form. 370. a. 34+16 b. 3416 In the following exercises, perform the indicated operations. Write your answers in simplified form. 371. a. 23+16 b. 2316 In the following exercises, perform the indicated operations. Write your answers in simplified form. 372. a. 2518 b. 2518 In the following exercises, perform the indicated operations. Write your answers in simplified form. 373. a. 4518 b. 4518 In the following exercises, perform the indicated operations. Write your answers in simplified form. 374. a. 5n815 b. 5n815 In the following exercises, perform the indicated operations. Write your answers in simplified form. 375. a. 3a712 b. 3a712 In the following exercises, perform the indicated operations. Write your answers in simplified form. 376. a. 910(11d) b. 910+(11d)In the following exercises, perform the indicated operations. Write your answers in simplified form. 377. a. 415(5q) b. 415+(5q)In the following exercises, perform the indicated operations. Write your answers in simplified form. 38(310)In the following exercises, perform the indicated operations. Write your answers in simplified form. 379. 512(59)In the following exercises, perform the indicated operations. Write your answers in simplified form. 380. 38+512 In the following exercises, perform the indicated operations. Write your answers in simplified form. 18+712 In the following exercises, perform the indicated operations. Write your answers in simplified form. 5619 In the following exercises, perform the indicated operations. Write your answers in simplified form. 383. 5916 In the following exercises, perform the indicated operations. Write your answers in simplified form. 384. 38(1021)In the following exercises, perform the indicated operations. Write your answers in simplified form. 712(835)In the following exercises, perform the indicated operations. Write your answers in simplified form. 386. 715y4 In the following exercises, perform the indicated operations. Write your answers in simplified form. 387. 38x11 In the following exercises, perform the indicated operations. Write your answers in simplified form. 388. 1112a9a16 In the following exercises, perform the indicated operations. Write your answers in simplified form. 389. 10y13815y In the following exercises, simplify. ( 1 5 )22+32 In the following exercises, simplify. ( 1 3 )25+22 In the following exercises, simplify. 23+42( 2 3 )2 In the following exercises, simplify. 3332( 3 4 )2 In the following exercises, simplify. ( 3 5 )2( 3 7 )2 In the following exercises, simplify. ( 3 4 )2( 5 8 )2 In the following exercises, simplify. 213+15 In the following exercises, simplify. 514+13 In the following exercises, simplify. 23+123423 In the following exercises, simplify. 34+125623 In the following exercises, simplify. 782312+38 In the following exercises, simplify. 343514+25 In the following exercises, simplify. 12+23512 In the following exercises, simplify. 13+2535 In the following exercises, simplify. 135110 In the following exercises, simplify. 156112 ]In the following exercises, simplify. 23+16+34 In the following exercises, simplify. 23+14+35 In the following exercises, simplify. 3816+34 In the following exercises, simplify. 25+5834 In the following exercises, simplify. 12(920415)]In the following exercises, simplify. 8(151656)In the following exercises, simplify. 58+161924 In the following exercises, simplify. 16+3101430 In the following exercises, simplify. (59+16)(2312)In the following exercises, simplify. (34+16)(5813)In the following exercises, evaluate the given expression. Express your answers in simplified form, using improper fractions if necessary. 416. x+12 when a. x=18 b. x=12 In the following exercises, evaluate the given expression. Express your answers in simplified form, using improper fractions if necessary. 417. x+23 when a. x=16 b. x=53 In the following exercises, evaluate the given expression. Express your answers in simplified form, using improper fractions if necessary. 418. x+(56) when a. x=13 b. x=16 In the following exercises, evaluate the given expression. Express your answers in simplified form, using improper fractions if necessary. 419. x+(1112) when a. x=1112 b. x=34 In the following exercises, evaluate the given expression. Express your answers in simplified form, using improper fractions if necessary. 420. x25 when a. x=35 b. x=35 In the following exercises, evaluate the given expression. Express your answers in simplified form, using improper fractions if necessary. 421. x13 when a. x=23 b. x=23 In the following exercises, evaluate the given expression. Express your answers in simplified form, using improper fractions if necessary. 422. 710w when a. w=12 b. w=12 In the following exercises, evaluate the given expression. Express your answers in simplified form, using improper fractions if necessary. 423. 512w when a. w=14 b.w=14 In the following exercises, evaluate the given expression. Express your answers in simplified form, using improper fractions if necessary. 424. 4p2q when p=12 and q=59 In the following exercises, evaluate the given expression. Express your answers in simplified form, using improper fractions if necessary. 425. 5m2n when m=25 and n=13 In the following exercises, evaluate the given expression. Express your answers in simplified form, using improper fractions if necessary. 426. 2x2y3 when x=23 and y=12 In the following exercises, evaluate the given expression. Express your answers in simplified form, using improper fractions if necessary. 427. 8u2v3 when u=34 and v=12 In the following exercises, evaluate the given expression. Express your answers in simplified form, using improper fractions if necessary. 428. u+vw when u=4,v=8,w=2 In the following exercises, evaluate the given expression. Express your answers in simplified form, using improper fractions if necessary. 429. m+np when m=6,n=2,p=4 In the following exercises, evaluate the given expression. Express your answers in simplified form, using improper fractions if necessary. 430. a+bab when a=3,b=8 In the following exercises, evaluate the given expression. Express your answers in simplified form, using improper fractions if necessary. 431. rsr+s when r=10,s=5 Decorating Laronda is making covers for the throw pillows on her sofa. For each pillow cover, she needs 316 yard of print fabric and 38 yard of solid fabric. What is the total amount of fabric Laronda needs for each pillow cover?Baking Vanessa is baking chocolate chip cookies and oatmeal cookies. She needs 114 cups of sugar for the chocolate chip cookies, and 118 cups for the oatmeal cookies How much sugar does she need altogether?Explain why it is necessary to have a common denominator to add or subtract fractions.Explain how to find the LCD of two fractions.TRY IT:: 4.161 Use a model to add the following. Draw a picture to illustrate your model. 125+335 TRY IT:: 4.162 Use a model to add the following. Draw a picture to illustrate your model. 216+256 TRY IT:: 4.163 Model, and give the sum as a mixed number. Draw a picture to illustrate your model. 256+156 TRY IT:: 4.164 Model, and give the sum as a mixed number. Draw a picture to illustrate your model. 158+178 TRY IT:: 4.165 Find the sum: 447+127 .TRY IT:: 4.166 Find the sum: 2311+5611 .TRY IT:: 4.167 Find the sum: 878+758 .TRY IT:: 4.168 Find the sum: 679+859 .TRY IT:: 4.169 Find the sum by converting the mixed numbers to improper fractions: 559+379 .TRY IT:: 4.170 Find the sum by converting the mixed numbers to improper fractions: 3710+2910 .TRY IT:: 4.171 Use a model to subtract: 114 .TRY IT:: 4.172 Use a model to subtract: 115 .TRY IT:: 4.173 Use a model to subtract: 215 .TRY IT:: 4.174 Use a model to subtract: 213 .TRY IT:: 4.175 Use a model to subtract: 2113 .TRY IT:: 4.176 Use a model to subtract: 2114 .TRY IT:: 4.177 Use a model to subtract. Draw a picture to illustrate your model. s 11323 TRY IT:: 4.178 Use a model to subtract. Draw a picture to illustrate your model. 11545 IT:: 4.179 Find the difference: 649379 .TRY IT:: 4.180 Find the difference: 447267 .TRY IT:: 4.181 Find the difference by converting the mixed numbers to improper fractions: 449379 .TRY IT:: 4.182 Find the difference by converting the mixed numbers to improper fractions: 447267 .TRY IT:: 4.183 Add: 156+434 .TRY IT:: 4.184 Add: 345+812 .TRY IT:: 4.185 Find the difference: 812345 .TRY IT:: 4.186 Find the difference: 434156 .TRY IT:: 4.187 Subtract: 134678 .TRY IT:: 4.188 Subtract: 10372249 .In the following exercises, use a model to find the sum. Draw a picture to illustrate your model. 436. 115+315 In the following exercises, use a model to find the sum. Draw a picture to illustrate your model. 437. 213+113 In the following exercises, use a model to find the sum. Draw a picture to illustrate your model. 438. 138+178 In the following exercises, use a model to find the sum. Draw a picture to illustrate your model. 156+156 In the following exercises, add. 513+613 In the following exercises, add. 249+519 In the following exercises, add. 458+938 In the following exercises, add. 7910+3110 In the following exercises, add. 345+645 In the following exercises, add. 923+123 In the following exercises, add. 6910+8310 In the following exercises, add. 849+289 In the following exercises, use a model to find the difference. Draw a picture to illustrate your model. 448. 11656 In the following exercises, use a model to find the difference. Draw a picture to illustrate your model. 449. 11858 In the following exercises, find the difference. 278138 In the following exercises, find the difference. 27121512 In the following exercises, find the difference. 817204920 In the following exercises, find the difference. 19131513715 In the following exercises, find the difference. 837447 In the following exercises, find the difference. 529349 In the following exercises, find the difference. 258178 In the following exercises, find the difference. 25121712 In the following exercises, write the sum or difference as a mixed number in simplified form. 314+613 In the following exercises, write the sum or difference as a mixed number in simplified form. 216+534 In the following exercises, write the sum or difference as a mixed number in simplified form. 158+412 In the following exercises, write the sum or difference as a mixed number in simplified form. 723+812 In the following exercises, write the sum or difference as a mixed number in simplified form. 9710213 In the following exercises, write the sum or difference as a mixed number in simplified form. 645114 In the following exercises, write the sum or difference as a mixed number in simplified form. 223312 In the following exercises, write the sum or difference as a mixed number in simplified form. 278413 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 258134 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 123416 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 27+47 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 29+59 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 1512112 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 2310110 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 135129712 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 1558678 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 5949 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 1115715 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 434 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 625 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 92034 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 724143 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 9611+71011 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 8513+4913 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 325+534 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 256+415 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 8151019 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 51289 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 678213 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 659425 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 529445 In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form. 438323 Sewing Renata is sewing matching shirts for her husband and son. According to the patterns she will use, she needs 238 yards of fabric for her husband’s shirt and 118 yards of fabric for her son’s shirt. How much fabric does she need to make both shirts?Sewing Pauline has 314 yards of fabric to make a jacket. The jacket uses 223 yards. How much fabric will she have left after making the jacket?Printing Nishant is printing invitations on his computer. The paper is 812 inches wide, and he sets the print area to have a 112 -inch border on each side. How wide is the print area on the sheet of paper?Framing a picture Tessa bought a picture frame for her son’s graduation picture. The picture is 8 inches wide. The picture frame is 258 inches wide on each side. How wide will the framed picture be?Draw a diagram and use it to explain how to add 158+278 .Edgar will have to pay $3.75 in tolls to drive to the city. a. Explain how he can make change from a $10 bill before he leaves so that he has the exact amount he needs. b. How is Edgar’s situation similar to how you subtract 10334 ?Add 4512+378 twice, first by leaving them as mixed numbers and then by rewriting as improper fractions. Which method do you prefer, and why?Subtract 3784512 twice, first by leaving them as mixed numbers and then by rewriting as improper fractions. Which method do you prefer, and why?TRY IT:: 4.189 Determine whether each number is a solution of the given equation.x23=16 : a. x=1 b. x=56 c. x=56 TRY IT:: 4.190 Determine whether each number is a solution of the given equation. y14=38 : a. y=1 b. y=58 c. y=58 TRY IT:: 4.191 Solve: y+1112=512 .TRY IT:: 4.192 Solve: y+815=415 .TRY IT:: 4.193 Solve: a35=85 .TRY IT:: 4.194 Solve: n37=97 .TRY IT:: 4.195 Solve: 12u=76 .TRY IT:: 4.196 Solve: 8m=92 .TRY IT:: 4.197 Solve: f5=25 .TRY IT:: 4.198 Solve: h9=27 .TRY IT:: 4.199 Solve: c7=35 .TRY IT:: 4.200 Solve: x11=12 .TRY IT:: 4.201 Solve: y=48 .TRY IT:: 4.202 Solve: c=23 .TRY IT:: 4.203 Solve: 25n=14 .TRY IT:: 4.204 Solve: 56y=15 .TRY IT:: 4.205 Solve: 47a=52 .TRY IT:: 4.206 Solve: 79w=84 .TRY IT:: 4.207 Translate and solve: n divided by 7 is equal to 21 .TRY IT:: 4.208 Translate and solve: n divided by 8 is equal to 56 .TRY IT:: 4.209 Translate and solve: The quotient of q and 8 is 72.TRY IT:: 4.210 Translate and solve: The quotient of p and S9 is 81.TRY IT:: 4.211 Translate and solve: Two-fifths of f is 16.TRY IT:: 4.212 Translate and solve: Three-fourths of f is 21.TRY IT:: 4.213 Translate and solve. The quotient of n and 23 is 512 .IT:: 4.214 Translate and solve The quotient of c and 38 is 49 .TRY IT:: 4.215 Translate and solve: The sum of five-eighths and x is one-fourth.TRY IT:: 4.216 Translate and solve: The difference of one-and-three-fourths and x is five-sixths.In the following exercises, determine whether each number is a solution of the given equation.x25=110 : a. x=1 b. x=12 c. x=12 In the following exercises, determine whether each number is a solution of the given equation.y13=512 : a. y=1 b. y=34 c. y=34 In the following exercises, determine whether each number is a solution of the given equation.h+34=25 : a. h=1 b. h=720 c. h=720 In the following exercises, determine whether each number is a solution of the given equation.k+25=56 : a. k=1 b. k=1330 c. k=1330 In the following exercises, solve.y+13=43 In the following exercises, solve. y13 m+38=78 In the following exercises, solve.f+910=25 In the following exercises, solve.h+56=16 In the following exercises, solve.a58=78 In the following exercises, solve.c14=54 .In the following exercises, solve.x(320)=1120 In the following exercises, solve.z(512)=712 In the following exercises, solve.n16=34 In the following exercises, solve.p310=58 In the following exercises, solve. s+(12)=89 In the following exercises, solve.k+(13)=45 In the following exercises, solve.5j=17 In the following exercises, solve.7k=18 In the following exercises, solve.4w=26

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